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Finding the Fourth Proportional to 851.18, 1,275.66 and 617.70

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Solution

The fourth proportional to 851.18, 1,275.66 and 617.70 is: 925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.18 : 1,275.66 = 617.70 : x
  2. Step 2: Convert to fraction form
    851.18/1,275.66 = 617.70/x
  3. Step 3: Cross multiply
    851.18x = 1,275.66 × 617.70
  4. Step 4: Simplify right side
    851.18x = 787,975.18
  5. Step 5: Solve for x
    x = 787,975.18/851.18
  6. Step 6: Final answer
    x = 925.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.